What is the Greatest Common Factor of 91060 and 91070?

Greatest common factor (GCF) of 91060 and 91070 is 10.

GCF(91060,91070) = 10

We will now calculate the prime factors of 91060 and 91070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91060 and 91070.

How to find the GCF of 91060 and 91070?

We will first find the prime factorization of 91060 and 91070. After we will calculate the factors of 91060 and 91070 and find the biggest common factor number .

Step-1: Prime Factorization of 91060

Prime factors of 91060 are 2, 5, 29, 157. Prime factorization of 91060 in exponential form is:

91060 = 2² × 5¹ × 29¹ × 157¹

Step-2: Prime Factorization of 91070

Prime factors of 91070 are 2, 5, 7, 1301. Prime factorization of 91070 in exponential form is:

91070 = 2¹ × 5¹ × 7¹ × 1301¹

Step-3: Factors of 91060

List of positive integer factors of 91060 that divides 91060 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 157, 290, 314, 580, 628, 785, 1570, 3140, 4553, 9106, 18212, 22765, 45530

Step-4: Factors of 91070

List of positive integer factors of 91070 that divides 91060 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1301, 2602, 6505, 9107, 13010, 18214, 45535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91060 and 91070. The biggest common factor number is the GCF number.
So the greatest common factor 91060 and 91070 is 10.

Also check out the Least Common Multiple of 91060 and 91070